The combined height of one fir tree and one pine tree is 21 meters. the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree. how tall are the types of trees?

The fir trees are 9 meters tall and the pine trees are 12 meters tall

Solution:

Let f be the height of one fir tree

Let p be the height of one pine tree

Given that combined height of one fir tree and one pine tree is 21 meters

So we get,

height of one fir tree + height of one pine tree = 21

f + p = 21 eqn 1

Also given that height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree

height of 4 fir trees stacked on top of each other  = 24 + height of one pine tree

4f = 24 + p eqn 2

Let us solve eqn 1 and eqn 2 to find values of "f and "p"

From eqn 1,

f = 21 - p eqn 3

Substitute eqn 3 in eqn 2

4(21 - p) = 24 + p

84 - 4p = 24 + p

-4p - p = 24 - 84

-5p = - 60

Substitute p = 12 in eqn 3

f = 21 - 12 = 9

Summarizing the results:

height of one fir tree = 9 meters

height of one pine tree = 12 meters

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500